The founder of the far-right group the Proud Boys said on Friday that he was arranging the surrender of several members whom the police are seeking in connection with a violent brawl outside a Republican club in Manhattan last weekend.

At the same time, a senior official said the police had opened a broad criminal inquiry into the group’s activities.

Gavin McInnes, 48, a polemical far-right speaker who started the Proud Boys in 2016, said several suspects would turn themselves in. By late Friday afternoon, two of the nine men sought by the police had been arrested. A police official said a lawyer representing at least four of the suspects had called the 19th Precinct on Friday to work out the details of their surrender.

Though it was unclear how many might face charges, Mr. McInnes said the rest would soon be in custody. “They are going to be in the Tombs,” he said.

They fought with anti-fascist demonstrators on Oct. 12 shortly after Mr. McInnes gave a speech at the Metropolitan Republican Club, a bastion of establishment conservatism on the Upper East Side.

Though Mr. McInnes describes himself as a champion of Western values, many of his statements have been racist and have echoed white nationalist philosophies. Members of the Proud Boys have also joined forces at marches and rallies with white supremacist organizations.

One member of the group, Geoffrey Young, 38, was taken into custody Thursday night and charged with two misdemeanors: riot and attempted assault. The Manhattan district attorney’s office said in a complaint that Mr. Young punched one victim in the face, kicked a second in the stomach and kicked a third three times in the head.

In what she described as a “vicious, unrelenting attack,” a prosecutor, Jamie Kleidman, said in Manhattan Criminal Court on Friday that Mr. Young had “charged toward” six people believed to be protesters and was joined by about 10 other Proud Boys who “kicked, stomped and punched them.”

Mr. Young’s lawyer, John N. Iannuzzi, said his client had left the club peacefully and had encountered a group of “sanctimonious louts.” The protesters attacked Mr. Young, he said, who “had the opportunity and right to defend himself.”

A judge released Mr. Young on his own recognizance after he was arraigned on the charges.

Another suspected Proud Boys member, John Kinsman, 39, of Morristown, N.J., was arrested Friday afternoon and charged with riot, attempted gang assault and possession of a weapon, the police said.

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One member of the group, Geoff Young, 38, was taken into custody on Thursday night and charged with rioting and attempted assault.CreditJefferson Siegel for The New York Times

Mr. Kinsman appeared Friday night in Manhattan Criminal Court, where bail was set at $15,000 cash. A prosecutor told the judge that Mr. Kinsman was “the single most vicious of all the attackers,” adding that he had punched, kicked and stomped one person multiple times.

Mr. Kinsman’s lawyer, Ronald Hart, said that Mr. Kinsman had worked for seven years inspecting steel at the World Trade Center site and had no violence in his background. The Proud Boys, he said, had not instigated the clash.

Earlier, Pawl Bazile, the editor of Proud Boy magazine, described Mr. Young, who lives in New City, N.Y., as a “blue-collar guy” who had been with the club for about two years.

Last year, Mr. Young appeared in a 12-minute video with Paxton Hart, a member of the Metropolitan Republican Club who helped coordinate Mr. McInnes’s speech. The video was made for Proud Boy magazine.

Driving in a caravan toward Islamberg, an Islamic community in upstate New York, Mr. Young discussed his impressions of Muslims on the video. “They are literally a virus,” he said. “They eat and feed off the host nation until it’s dead.”

The night Mr. Young was arrested, John Miller, the Police Department’s deputy commissioner for intelligence and counterterrorism, said the Proud Boys were “the subject of a regular criminal investigation.”

Mr. Miller noted that, under the law, the police in New York have strict rules that limit their investigations of political groups. But, he added, “Violence is violence.”

Demonstrators protested the club’s decision to invite Mr. McInnes for much of last week, placing threatening phone calls to the club and demanding the event be canceled, the club’s president, Deborah Coughlin, said. Early on the morning of the speech, vandals spray-painted anti-fascist graffiti on the club’s headquarters on East 83rd Street, glued the locks shut with caulk and threw bricks through the windows, the police said.

The speech was nominally meant to commemorate the 1960 murder of a Japanese socialist by an ultranationalist assassin, but Mr. McInnes peppered it with mocking attacks on leftists, lesbians and people in the Black Lives Matter movement.

After the speech was over, Mr. McInnes left the club and a contingent of Proud Boys and their associates headed down Park Avenue, according to the police. A small group of masked demonstrators doubled back on Lexington Avenue to intercept them, the police said. The opposing groups came face to face on East 82nd Street, where the fight started.

The police said the violence started after one of the leftist protesters threw a plastic bottle at the Proud Boys, who had with them members of far-right groups, like the 211 Bootboys and Batalion 49.

It remains unclear from a surveillance camera’s videotape of the melee that the police released whether the bottle was thrown before or after the Proud Boys rushed the anti-fascist demonstrators.

On the night of the brawl, the police arrested three protesters in a separate incident and charged them with assault. For days, the Police Department faced criticism for failing to arrest any Proud Boys members. Then police commanders announced they were searching for nine people affiliated with the group, as well as three anti-fascist protesters.

Al Baker and Colin Moynihan contributed reporting.

A version of this article appears in print on , on Page A20 of the New York edition with the headline: Founder of Proud Boys Says He Is Arranging Surrender of Men in Brawl. Order Reprints | Today’s Paper | Subscribe